Answer:
Step-by-step explanation:
The area of a triangle is
and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:

That's the height that we will sub into the area formula:

Answer:
Given that events A and B are independent with P(A) = 0.46and; P(B|A)=0.85 determine the value of P(B) , rounding to the nearest thousandth , if necessary .
Step-by-step explanation:
Answer:
x = 101°
y = 46°
Step-by-step explanation:
The question tells us that ΔSTU is similar to ΔSVW. This means that the corresponding angles in each triangle are the same. We can write that like this:
∠UST = ∠WSV
∠SUT = ∠W
∠STU = ∠V
We can then fill in the angles we know into these statements.
33° = 33°
101° = x
y = 46°
Now we know the values of x and y.
x = 101°
y = 46°
Answer:
He still owes $500, out of his $10,500 debt
Step-by-step explanation:
2,000 + 9,000 - 10,000 + 500 = 500